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\frac{\left(x^{2}-9\right)\left(5x-15\right)}{\left(x-3\right)\left(x+3\right)}
Divide \frac{x^{2}-9}{x-3} by \frac{x+3}{5x-15} by multiplying \frac{x^{2}-9}{x-3} by the reciprocal of \frac{x+3}{5x-15}.
\frac{5\left(x+3\right)\left(x-3\right)^{2}}{\left(x-3\right)\left(x+3\right)}
Factor the expressions that are not already factored.
5\left(x-3\right)
Cancel out \left(x-3\right)\left(x+3\right) in both numerator and denominator.
5x-15
Expand the expression.
\frac{\left(x^{2}-9\right)\left(5x-15\right)}{\left(x-3\right)\left(x+3\right)}
Divide \frac{x^{2}-9}{x-3} by \frac{x+3}{5x-15} by multiplying \frac{x^{2}-9}{x-3} by the reciprocal of \frac{x+3}{5x-15}.
\frac{5\left(x+3\right)\left(x-3\right)^{2}}{\left(x-3\right)\left(x+3\right)}
Factor the expressions that are not already factored.
5\left(x-3\right)
Cancel out \left(x-3\right)\left(x+3\right) in both numerator and denominator.
5x-15
Expand the expression.